For a line in the slope-intercept form:
[tex]\begin{gathered} y=mx+b \\ m=slope \\ b=y-intercept \end{gathered}[/tex]From:
[tex]\begin{gathered} y=3x+1 \\ m1=3 \\ b1=1 \end{gathered}[/tex]From:
[tex]\begin{gathered} y=3x-5 \\ m2=3 \\ b2=-5 \end{gathered}[/tex]If two lines are parallel, then:
[tex]\begin{gathered} m1=m2 \\ 3=3 \\ True \end{gathered}[/tex]Therefore, we can conclude, the lines are parallel
